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Explore the complex journey of cosmic rays through extragalactic space in this comprehensive lecture from the CLAF/ICTP-SAIFR Latin-American Astroparticle Physics School. Delve into the fundamental physics governing how high-energy particles propagate across vast cosmic distances, examining the interactions and energy losses that occur as cosmic rays traverse intergalactic magnetic fields and encounter various forms of radiation and matter. Learn about the theoretical frameworks and computational models used to understand cosmic ray propagation, including the effects of magnetic deflection, energy attenuation mechanisms, and the role of cosmic microwave background interactions. Discover how extragalactic propagation affects the observed cosmic ray spectrum and composition at Earth, and understand the implications for identifying cosmic ray sources and acceleration mechanisms. Examine current observational evidence and how it constrains propagation models, while exploring the challenges in tracing cosmic rays back to their origins across cosmological distances. Gain insights into cutting-edge research methodologies and the latest developments in understanding how the most energetic particles in the universe travel through the cosmos before reaching our detectors.
